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This third book in the Nexus series offers papers
that further broaden the horizons of studies in
architecture and mathematics. One kind of analysis
offered here, the geometrical analysis of an existing
architectural monument, is treated in a different
light, that is, with as much of an emphasis on
methodology as on the particular results. These
geometric approaches illustrate the usefulness
of a rigorous mathematical approach to the study
of architecture. A different kind of approach
is offered by the examination of contemporary
architecture through linear algebra. Nexus
III: Architecture and Mathematics also includes
discussions of the architecture of non-European
cultures: Arabic, Inkan and Ottoman. Other contributions
consider the symbolic value of perspective in
painted representations of architecture, proportions
in the architecture of Palladio and Wright, the
issue of shape in the architecture of Le Corbusier.
CONTENTS
Kim Williams. "Preface."
Franca Caliò and Elena Marchetti.
"Generation of Architectural Forms Through
Linear Architecture."
Paul Calter and Kim Williams. "Measuring
Up to Michelangelo: A Methodology."
Alessandra Capanna. "Conoids and
Hyperbolic Paraboloids in Le Corbusier's Philips
Pavilion."
Yvonne Dold-Samplonius. "Calculation
of Arches and Domes in 15th-century Samarkand."
Leonard K. Eaton. "Mathematics and
Music in the Art Glass Windows of Frank Lloyd
Wright."
Rachel Fletcher. "Golden Proportions
in a Great House: Palladio's Villa Emo."
Luigi Pepe. "Architecture and Mathematics
in Ferrara from the Thirteenth to the Eighteenth
Centuries."
Mark Reynolds. "A New Geometric Analysis
of the Pazzi Chapel in Santa Croce, Florence."
Zafer Sagdic. "Ottoman Architecture:
Relationships Between Architectural Design and
Mathematics in Architect Sinan's Works."
William D. Sapp. "Design, Construction
and Measurement in the Inka Empire."
David Speiser. "Architecture, Mathematics
and Theology in Raphael's Paintings."
Stephen R. Wassell. "Art and Mathematics
Before the Quattrocento: A Context for Understanding
Renaissance Architecture."
Carol Martin Watts. "The Geometry
of the Master Plan of Roman Florence and its Surroundings."
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